On two-sided monogenic functions of axial type
Complex Variables
2016-09-27 v1
Abstract
In this paper we study two-sided (left and right) axially symmetric solutions of a generalized Cauchy-Riemann operator. We present three methods to obtain special solutions: via the Cauchy-Kowalevski extension theorem, via plane wave integrals and Funk-Hecke's formula and via primitivation. Each of these methods is effective enough to generate all the polynomial solutions.
Cite
@article{arxiv.1609.07794,
title = {On two-sided monogenic functions of axial type},
author = {Dixan Peña Peña and Irene Sabadini and Frank Sommen},
journal= {arXiv preprint arXiv:1609.07794},
year = {2016}
}
Comments
17 pages, accepted for publication in Moscow Mathematical Journal